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MHT CET202312 May 2023Morning ShiftMathematicsApplication of DerivativesActual

The angle between the tangents to the curves y=2 x^2 and x=2 y^2 at (1,1) is

Options

  1. A⁻¹ ( 15 8 )
  2. B⁻¹ ( 7 8 )
  3. C⁻¹ ( 3 4 )
  4. D⁻¹ ( 1 4 )

Correct answer

A. ⁻¹ ( 15 8 )

Step-by-step solution

y=2 x^2 Slope of the tangent to this curve is d y ~d x = m ₁=4 x at (1,1), m ₁=4 x=2 y^2 Slope of the tangent to this curve is d y ~d x = m ₂= 1 4 y at (1,1), m ₂= 1 4 Let be the angle between two tangents. aligned & = | m₁-m₂ 1+m₁ m₂ |= | 4- 1 4 1+4 1 4 |= 15 8 & = ⁻¹ ( 15 8 ) aligned

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